Question 16

Which two signs need to be interchanged to make the following equation correct?
$$45 - 9 \div 3 + 5 \times 6 = 32$$

Solution

Given expression $$45 - 9 \div 3 + 5 \times 6 = 32$$
 we check option (A) $$\times and \div$$

we put Sign in the expression 

$$45 - 9 \times 3 + 5 \div  6 = 32$$ 

From LHS $$45 - 9 \times 3 + 5 \div 6$$

$$\Rightarrow 45 - 27 + 0.833 $$

$$\Rightarrow 18 +0.833 $$

$$\Rightarrow 18.833 $$ RHS it is not staisfied .

check another option $$\div and + $$

we put Sign in the expression 

$$45 - 9 +3 \div5 \times 6 = 32$$

From LHS $$45 - 9 +3 \div5 \times 6$$

$$\Rightarrow 45 - 9+ 0.6 \times 6 $$

$$\Rightarrow 45 -9 + 3.6 $$

$$\Rightarrow 36 +3.6 $$ 

$$\Rightarrow  39.6 $$ RHS it is not staisfied .

We check  another option $$\times and + $$

we put sign in the given expression

$$45 - 9 \div 3 \times 5 + 6 = 32$$    Similar we check it is also not stiasfied .

we check another option $$\div and - $$

we put sign in the given expression 

$$45 \div 9 - 3 + 5 \times 6 = 32$$

From LHS $$45 \div 9 - 3 + 5 \times 6$$

$$\Rightarrow 5 - 3 +30 $$

$$\Rightarrow 35-3 $$

$$\Rightarrow 32 $$ RHS it is staified.

therefore (D) $$ \div and - $$ Ans 


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